List all the elements of the following set:
$D = \{ x : x \text{ is a letter in the word } \text{"LOYAL"} \}$
$D = \{ x : x \text{ is a letter in the word } \text{"LOYAL"} \}$
(D) To list the elements of the set $D$,we identify the distinct letters in the word $\text{"LOYAL"}$.
The letters are $L, O, Y, A, L$.
Since elements in a set must be distinct,we list each letter only once.
Therefore,$D = \{ L, O, Y, A \}$.
The letters are $L, O, Y, A, L$.
Since elements in a set must be distinct,we list each letter only once.
Therefore,$D = \{ L, O, Y, A \}$.
Explore More
Similar Questions
Given the sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}$,and $C = \{0, 2, 4, 6, 8\}$,which of the following sets can be considered as a universal set for all the three sets $A$,$B$,and $C$?
$X = \{0, 1, 2, 3, 4, 5, 6\}$
$X = \{0, 1, 2, 3, 4, 5, 6\}$
Easy
View SolutionWrite the following set in roster form:
$B = \{x : x \text{ is a natural number less than } 6\}$
$B = \{x : x \text{ is a natural number less than } 6\}$
Easy
View SolutionWrite the following interval in set-builder form: $(6, 12]$
Easy
View SolutionIf $n(A) = 4$,$n(B) = 3$,and $n(A \times B \times C) = 24$,then find $n(C)$.
Easy
View SolutionIf $A \cap B = B$,then
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo